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Some Approximation Results on Two Parametric q-Stancu–Beta Operators

Some Approximation Results on Two Parametric q-Stancu–Beta Operators In the present paper, we introduce a two parametric q-analogue of Stancu-Beta operators and establish some direct results in the polynomial weighted space of continuous functions defined on the interval $$[0,\infty )$$ [ 0 , ∞ ) . We use Lipschitz-type maximal function to find pointwise estimate. Furthermore, we obtain a Voronovskaja-type theorem for these operators. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Some Approximation Results on Two Parametric q-Stancu–Beta Operators

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References (25)

Publisher
Springer Journals
Copyright
Copyright © 2017 by Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-017-0499-3
Publisher site
See Article on Publisher Site

Abstract

In the present paper, we introduce a two parametric q-analogue of Stancu-Beta operators and establish some direct results in the polynomial weighted space of continuous functions defined on the interval $$[0,\infty )$$ [ 0 , ∞ ) . We use Lipschitz-type maximal function to find pointwise estimate. Furthermore, we obtain a Voronovskaja-type theorem for these operators.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: May 12, 2017

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